Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0944.65112
Ivanauskas, F.; Radziunas, M.
On convergence and stability of the explicit difference method for solution of nonlinear Schrödinger equations. (English)
[J] SIAM J. Numer. Anal. 36, No.5, 1466-1481 (1999). ISSN 0036-1429; ISSN 1095-7170/e

This paper concerns the first boundary value problem for a nonlinear Schrödinger equation. The conditional convergence and stability on the initial data of the explicit three-level difference scheme of DuFort-Frankel type in $C$ and $W^1_2$ norms are proved. Grid analogues of energy conservation laws and grid multiplicative inequalities are used.
[Laura-Iulia Aniţa (Iaşi)]

MSC 2000:: *65N12 Stability and convergence of numerical methods (BVP of PDE)
65N06 Finite difference methods (BVP of PDE)
35Q55 NLS-like (nonlinear Schroedinger) equations

Keywords: nonlinear Schrödinger equation; DuFort-Frankel difference scheme; convergence; stability

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]